Units, polyhedra, and a conjecture of Satake

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Let $F/\QQ $ be a totally real number field of degree $n$. We explicitly evaluate a certain sum of rational functions over a infinite fan of $F$-rational polyhedral cones in terms of the norm map $\Norm \colon F\to \QQ $. This completes Sczech's combinatorial proof of Satake's conjecture connecting the special values of $L$-series associated to cusp singularities with intersection numbers of divisors in their toroidal resolutions.
plain tex, uses epsf

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Number Theory, Algebraic Geometry, 11F41; 11R42; 14M25

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http://salesiana.dossiersoluciones.com/handle/123456789/64355

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206217
 http://arxiv.org/abs/math/0206217

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arXiv